Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2024,
Номер
34(12)
Опубликована: Дек. 1, 2024
The
phenomenon
of
load
redistribution
in
complex
networks
has
garnered
extensive
attention
due
to
its
profound
impact
and
widespread
occurrence.
In
recent
years,
higher-order
structures
have
offered
new
insights
into
understanding
the
dynamic
processes
networks.
However,
influence
these
on
dynamics
redistribution,
cascade
failures,
recovery
remains
be
fully
explored.
this
study,
we
propose
model
with
strategies
failure
based
functional
upgrading
reconstruction
mechanisms.
cascading
process
strategies,
find
that
can
induce
a
discontinuous
phase
transition
at
low
proportion
displays
dual
character
being
robust
yet
fragile.
These
findings
been
examined
both
real
classical
modeled
Interestingly,
largest
connected
component
exhibits
three
distinct
modes
as
attack
ratio
increases
high
densities
Entropy,
Год журнала:
2025,
Номер
27(2), С. 109 - 109
Опубликована: Янв. 23, 2025
Percolation
on
interdependent
networks
generalizes
the
well-studied
percolation
model
in
a
single
network
to
multiple
interacting
systems,
unveiling
spontaneous
cascading
failures,
abrupt
collapses,
and
high
vulnerability.
The
main
novelty
of
has
been
introduction
two
types
links,
connectivity
within
dependency
between
them.
interplay
these
interactions
results
novel
critical
phenomena
phase
transitions.
This
abstract
paradigm
was
recently
applied
magnetic
networks,
as
an
experimentally
testable
method
for
superconducting
well
other
systems
like
k-core
overloaded
networks.
Here,
we
will
review
physical
applications
provide
insights
into
several
potential
directions
field
physically
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2025,
Номер
35(2)
Опубликована: Фев. 1, 2025
Unlike
hollow
triangles
formed
through
pairwise
interactions,
a
filled
triangle
or
two-simplex
comprises
three
nodes
that
form
group
and
represent
the
most
fundamental
higher-order
interaction.
To
analyze
effects
of
on
robustness
world
trade
networks,
we
integrate
multilateral
regional
agreements
import–export
data
to
construct
networks.
The
topological
characteristics
indicate
significant
growth
in
scale
complexity
networks
over
time,
with
notable
decline
2020.
Then,
introduce
node
attack
strategies
designed
simulate
scenarios
where
key
countries
regions
withdraw
from
network.
It
is
revealed
network
has
improved
along
size
complexity,
although
it
diminished
further
explore
factors
influencing
changes
robustness,
generate
synthetic
based
random
simplicial
complex
(RSC)
model
scale-free
(SFSC)
model.
demonstrate
increasing
average
degree
enhances
while
merely
number
can
weaken
it.
Additionally,
exhibit
lower
due
vulnerability
hub
nodes,
contrast
higher
resilience
complexes.
These
insights
emphasize
importance
fostering
interactions
strengthening
ties
for
robustness.
Scientific Reports,
Год журнала:
2025,
Номер
15(1)
Опубликована: Фев. 27, 2025
With
the
development
of
information
technology,
interactions
between
nodes
are
no
longer
restricted
to
two
nodes.
Recently,
researchers
have
proposed
a
higher-order
network,
which
is
more
suitable
describe
multidimensional
interaction
relationships
in
systems.
A
network
with
good
robustness
can
effectively
resist
natural
disasters
and
deliberate
attacks.
How
improve
worth
studying.
In
this
paper,
we
construct
networks
based
on
simplex
structure.
addition,
propose
capacity
load
model
that
networks.
The
simulation
results
show
positively
correlated
size
high-order
larger
robust
attack
strategies.
related
number
2-simplexes
network.
Furthermore,
affected
by
weight
coefficients
1-simplex
2-simplex
interactions.
Therefore,
controlling
1-
We
verified
conclusions
synthetic
constructed
real
data.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2025,
Номер
35(3)
Опубликована: Март 1, 2025
In
complex
systems,
there
are
pairwise
and
multiple
interactions
among
elements,
which
can
be
described
as
hypergraphs.
K-core
percolation
is
widely
utilized
in
the
investigation
of
robustness
systems
subject
to
random
or
targeted
attacks.
However,
nodes
usually
correlates
with
their
characteristics,
such
degree,
exhibits
heterogeneity
while
lacking
a
theoretical
study
on
hypergraph.
To
this
end,
we
constructed
hyperedge
model
that
introduces
parameters
divide
active
hyperedges
into
two
parts,
where
inactive
unless
they
have
certain
number
nodes.
stage
pruning
process,
when
contained
less
than
its
set
value,
it
will
pruned,
result
deletion
other
ultimately
trigger
cascading
failures.
We
studied
magnitude
giant
connected
component
threshold
by
mapping
hypergraph
factor
graph.
Subsequently,
conducted
large
simulation
experiments,
values
matched
well
simulated
values.
The
proposed
significant
impact
type
phase
transition
network.
found
decreasing
value
renders
network
more
fragile,
increasing
makes
resilient
under
Meanwhile,
parameter
decreases
0,
may
cause
change
nature
transition,
shows
hybrid
transition.
Electronics,
Год журнала:
2023,
Номер
12(14), С. 3061 - 3061
Опубликована: Июль 13, 2023
The
networked
combat
system-of-system
(CSOS)
is
the
trend
of
development
with
innovation
technology.
To
achieve
effectiveness,
studying
ability
CSOS
to
cope
external
interference
great
importance.
Here
we
report
a
modeling
method
from
perspective
complex
networks
and
explore
robustness
network
based
on
this.
Firstly,
more
realistic
double-layer
heterogeneous
dependent
model
established.
Then,
conditional
group
dependency
situation
considered
design
failure
rules
for
failure,
coupling
relation
between
subnets
analyzed
overload
failure.
Based
this,
initial
load
capacity
node
are
defined,
respectively,
as
well
redistribution
strategy
status
judgment
cascading
model.
Simulation
experiments
carried
out
by
changing
attack
modes
different
parameters,
results
show
that
can
be
effectively
improved
improving
tolerance
limit
one-way
functional
net,
subnet,
state.
conclusions
this
paper
provide
useful
reference
structure
optimization
security
protection
in
military
field.
International Journal of Modern Physics C,
Год журнала:
2023,
Номер
35(05)
Опубликована: Сен. 30, 2023
Previous
studies
of
group
percolation
models
in
interdependent
networks
with
reinforced
nodes
have
rarely
addressed
the
effects
degree
and
heterogeneity
size
distribution.
In
this
paper,
a
cascading
failure
model
crucial
dependency
groups
is
investigated
numerically
analytically.
For
each
group,
we
assume
that
if
all
fail
on
one
network,
node
another
network
depends
will
fail.
We
find
rich
transitions
can
be
classified
into
three
types:
discontinuous,
continuous,
hybrid
phase
transitions,
which
depend
density
nodes,
size,
Importantly,
our
proposed
method
has
higher
reinforcement
efficiency
than
random
method.
More
significantly,
develop
general
theoretical
framework
to
calculate
transition
points
shift
point
types.
Simulation
results
show
robustness
improved
by
increasing
Our
well
agree
numerical
simulations.
These
findings
might
new
perspective
for
designing
more
resilient
infrastructure
networks.
